Results 21 to 30 of about 10,928,752 (312)
A dual problem to least fixed points
Theoretical Computer Science, 1981 AbstractAfter a simple and convenient generalization of the notion of continuous functions and continuous lattices we answer the following question: when for a given element x of a complete lattice there is a least continuous function having x as a least fixed point?
V. L. Nguyen, Jean-Louis Lassez
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Hölder-type spaces, singular operators, and fixed point theorems
, 2021 In this note, we give a sufficient condition for the existence of Hölder-type solutions to a class of fractional initial value problems involving Caputo derivatives.
López Brito, María Belén +4 more
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An Extension of a Problem of Fixed Point
, 2016 In this article, we extend the requirement of the Problem 9.2 proposed at Varna 2015 Spring Competition, both in terms of membership of the measure 𝛾, and the case for the problem for the ex-inscribed circle 𝐶. We also try to guide the student in the search and identification of the fixed point, for succeeding in solving any problem of this type.
Patrascu, Ion, Smarandache, Florentin
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A note on two fixed point problems
Journal of Complexity, 2007 The authors discuss and extend the applicability of the exterior ellipsoid algorithm for approximating the fixed points of a system of nonlinear equations. It is shown that the ellipsoid algorithms could be extended and applied to larger classes of functions that are only nonexpanding in the direction of fixed points.
Ch. Boonyasiriwat +2 more
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Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems [PDF]
SIAM Journal on Optimization, 2017 Summary: In this paper, we establish sublinear and linear convergence of fixed point iterations generated by averaged operators in a Hilbert space. Our results are achieved under a bounded Hölder regularity assumption which generalizes the well-known notion of bounded linear regularity.
Jonathan M. Borwein +2 more
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On the Complexity of 2D Discrete Fixed Point Problem
Theoretical Computer Science, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xi Chen 0001, Xiaotie Deng
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Fixed point structures on a set-mapping pair and cartesian product
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 In this paper we study the following problem (Problem 4.2 in, I.A. Rus, Sets with structure, mappings and fixed point property: fixed point structures, Fixed Point Theory 23, No. 2 (2022), 689-706):
Rus Ioan A., Şerban Marcel-Adrian
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On the problem of discontinuity at fixed point
Filomat, 2020 In this paper we obtain two known solutions of the problem of continuity of contractive mappings at fixed point under alternative set of conditions; these known solutions followed the first solution of Rhoades problem by Pant in 1999. We show that these two solutions characterize completeness and we also compare these with some recent ...
Joshi, Bharti +3 more
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Circumscribed ellipsoid algorithm for fixed-point problems [PDF]
Mathematics of Computation, 2010 We present a new implementation of the almost optimal Circumscribed Ellipsoid (CE) Algorithm for approximating fixed points of nonexpanding functions, as well as of functions that may be globally expanding, however, are nonexpanding/contracting in the direction of fixed points.
Ch. Boonyasiriwat +2 more
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Proximal Gradient Method for Solving Bilevel Optimization Problems
Mathematical and Computational Applications, 2020 In this paper, we consider a bilevel optimization problem as a task of finding the optimum of the upper-level problem subject to the solution set of the split feasibility problem of fixed point problems and optimization problems.
Seifu Endris Yimer +2 more
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